GCD of 915, 180, 138, 285 Calculator

Given Input numbers are 915, 180, 138, 285

In the factoring method, we have to find the divisors of all numbers

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

GCD of numbers is the greatest common divisor

So, the GCD (915, 180, 138, 285) = 3.

Given numbers are 915, 180, 138, 285

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 285 are 3 x 5 x 19

The highest common occurrence is 3¹

Therefore, GCD of 915, 180, 138, 285 is 3.

Given numbers are 915, 180, 138, 285

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(915, 180) = 10980

GCD(915, 180) = ( 915 x 180 ) / 10980

= 915 / 180

= 915

Step2:

LCM(15, 138) = 690

GCD(15, 138) = ( 15 x 138 ) / 690

= 15 / 138

= 15

Step3:

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

= 3 / 285

= 3

So, Greatest Common Divisor of 915, 180, 138, 285 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 190, 419, 626
• GCD of 515, 648, 694, 131
• GCD of 992, 177, 148, 768
• GCD of 446, 225, 483, 910
• GCD of 106, 186, 557, 606

Given numbers are 915, 180, 138, 285
The greatest common divisor of numbers 915, 180, 138, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 180, 138, 285 is 3.

1. What is the GCD of 915, 180, 138, 285?

GCD of given numbers 915, 180, 138, 285 is 3

2. How to calculate the greatest common divisor of 915, 180, 138, 285?

We can find the highest common divisor of 915, 180, 138, 285 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 915, 180, 138, 285 i.e 3.

3. How can I use the GCD of 915, 180, 138, 285Calculator?

Out the numbers 915, 180, 138, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.